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Question

You are provided with a hollow iron ball $$A$$ of volume $$15 cm^3$$ mass $$12\ g$$ and a solid iron ball $$B$$ of mass $$12\ g$$. Both are placed on the surface of water contained in a large tub.Find upthrust on each ball.


Solution

Mass of ball $$A=12g$$
Mass of ball $$B=12g$$
Density of iron $$=8 gcm^3$$
Volume of the hollow iron ball $$A=15 cm^3$$
Volume of the hollow iron ball $$B=$$ Mass/ density $$=12/8=1.5\ cm^{-3}$$
To find the upthrust on ball $$A$$ and $$B$$
Upthrust on ball $$A =$$ volume of iron ball $$A\times $$ density of water $$\times g$$
$$=15\times 1\times g=15gf$$
Upthrust on ball $$B=$$ volume of iron ball $$B \times $$ density of water $$\times g$$
$$=1.5\times 1\times g=1.5gf$$

Physics

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